simplify ln(1/48)

Solution

simplify

ln (\frac{1}{48})

- ln (48)

Decimal Notation

- 3.87120 \dots

Solution steps

ln (\frac{1}{48})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{1}{48}) = ln (1) - ln (48)

= ln (1) - ln (48)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (48)

0 - ln (48) = - ln (48)

= - ln (48)

lo g_{10} (\frac{x}{10 x ^{2}})

3 ln (x) + 4 ln (yz) - ln (x^{3} y^{2})

lo g_{8} (\frac{1}{6})

- lo g_{10} (1 x 1 0^{- 3})

ln (\frac{3 y}{x ^{5}})